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diff_eng - x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18...

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x p(x) 1st diff 2nd diff 3rd diff 0 0 2 14 18 1 2 16 32 18 2 18 48 50 18 3 66 98 68 18 4 164 166 86 18 5 330 252 104 18 6 582 356 122 18 7 938 478 140 18 8 1416 618 158 18 9 2034 776 176 18 10 2810 952 194 18 11 3762 1146 212 18 12 4908 1358 230 18 13 6266 1588 248 18 14 7854 1836 266 18 15 9690 2102 284 18 16 11792 2386 302 18 17 14178 2688 320 18 18 16866 3008 338 18 19 19874 3346 356 18 20 23220 3702 374 18 21 26922 4076 392 18 22 30998 4468 410 18 23 35466 4878 428 18 24 40344 5306 446 18 25 45650 5752 464 18 26 51402 6216 482 18 27 57618 6698 500 18 28 64316 7198 518 18 29 71514 7716 536 18 30 79230 8252 554 18 31 87482 8806 572 18 32 96288 9378 590 18 33 105666 9968 608 18 34 115634 10576 626 18 35 126210 11202 644 18 36 137412 11846 662 18 37 149258 12508 680 18 38 161766 13188 698 18 39 174954 13886 716 18 40 188840 14602 734 18 41 203442 15336 752 18 42 218778 16088 770 18 43 234866 16858 788 18 44 251724 17646 806 18 45 269370 18452 824 18 46 287822 19276 842 18 47 307098 20118 860 18 48 327216 20978 878 18 49 348194 21856 896 18 50 370050 22752 914 18 51 392802 23666 932 18
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52 416468 24598 950 18 53 441066 25548 968 18 54 466614 26516 986 18 55 493130 27502 1004 18 56 520632 28506 1022 18 57 549138 29528 1040 18 58 578666 30568 1058 18 59 609234 31626 1076 18 60 640860 32702 1094 18 61 673562 33796 1112 18 62 707358 34908 1130 18 63 742266 36038 1148 18 64 778304 37186 1166 18 65 815490 38352 1184 18 66 853842 39536 1202 18 67 893378 40738 1220 18 68 934116 41958 1238 18
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